Curved WDVV equation and supersymmetric mechanics

Аннотация

We extend the relation between the Witten-Dijkgraaf-Verlinde-Verlinde equation and N = 4 supersymmetric mechanics to arbitrary curved spaces. The resulting curved WDVV equation is written in terms of the third rank Codazzi tensor. We provide the solutions of the curved WDVV equation for the so(n) symmetric conformally flat metrics. We also explicitly demonstrate how each solution of the flat WDVV equation can be lifted up to the curved WDVV solution on the conformally flat spaces.

Язык оригинала	Английский
Номер статьи	012026
Журнал	Journal of Physics: Conference Series
Том	965
Номер выпуска	1
DOI	https://doi.org/10.1088/1742-6596/965/1/012026
Состояние	Опубликовано - 15 фев 2018
Событие	25th International Conference on Integrable Systems and Quantum Symmetries, ISQS 2017 - Prague, Чешская Республика Продолжительность: 6 июн 2017 → 10 июн 2017

ASJC Scopus subject areas

Physics and Astronomy(all)

Доступ к документу

10.1088/1742-6596/965/1/012026

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Цитировать

Kozyrev, N., Krivonos, S., Lechtenfeld, O., Nersessian, A., & Sutulin, A. (2018). Curved WDVV equation and supersymmetric mechanics. Journal of Physics: Conference Series, 965(1), [012026]. https://doi.org/10.1088/1742-6596/965/1/012026

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